(k, s)-Riemann-Liouville fractional integral and applications

被引：127

作者：

Sarikaya, Mehmet Zeki ^{[1
]}

Dahmani, Zoubir ^{[2
]}

Kiris, Mehmet Eyup ^{[3
]}

Ahmad, Farooq ^{[4
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

[2] Univ Mostaganem, UMAB, Lab Pure & Appl Math, Mostaganem, Algeria

[3] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, Afyon, Turkey

[4] Majmaah Univ, Colleege Sci, Dept Math, Al Zulfi, Saudi Arabia

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2016年 / 45卷 / 01期

关键词：

Riemann-Liouville fractional integrals; synchronous function; Chebyshev inequality; Holder inequality; INEQUALITIES;

D O I：

10.15672/HJMS.20164512484

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.

引用

页码：77 / 89

页数：13

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